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2.
Unable to move forward from a certain position or point of negotiation.
"It looks like we're stuck in a stagmire here if we can't agree on a way to move forward."
by Tom Tolman June 13, 2007
 
1.
A non-standard word consisting of the words stagnant and quagmire. Spoken by the malapropism-spouting Little Carmine "W" Lupertazzi, in the Sopranos' episode "Long Term Parking" from Season 5. Obviously, Little Carmine wasn't paying attention during English class.
"We're in a fucking stagmire."
by Frank Costanza's Bro April 24, 2007